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Finding the Third Proportional to 319,674 and 532,714.50

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Solution

The third proportional to 319,674 and 532,714.50 is: 887,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,674 : 532,714.50 = 532,714.50 : x
  2. Step 2: Convert to fraction form
    319,674/532,714.50 = 532,714.50/x
  3. Step 3: Cross multiply
    319,674x = 532,714.50 × 532,714.50
  4. Step 4: Simplify right side
    319,674x = 283,784,738,510.25
  5. Step 5: Solve for x
    x = 283,784,738,510.25/319,674
  6. Step 6: Final answer
    x = 887,731.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.